Information on Result #707115
Linear OA(4197, 273, F4, 92) (dual of [273, 76, 93]-code), using construction XX applied to C1 = C([80,169]), C2 = C([84,171]), C3 = C1 + C2 = C([84,169]), and C∩ = C1 ∩ C2 = C([80,171]) based on
- linear OA(4187, 255, F4, 90) (dual of [255, 68, 91]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {80,81,…,169}, and designed minimum distance d ≥ |I|+1 = 91 [i]
- linear OA(4184, 255, F4, 88) (dual of [255, 71, 89]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {84,85,…,171}, and designed minimum distance d ≥ |I|+1 = 89 [i]
- linear OA(4192, 255, F4, 92) (dual of [255, 63, 93]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {80,81,…,171}, and designed minimum distance d ≥ |I|+1 = 93 [i]
- linear OA(4179, 255, F4, 86) (dual of [255, 76, 87]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {84,85,…,169}, and designed minimum distance d ≥ |I|+1 = 87 [i]
- linear OA(44, 12, F4, 3) (dual of [12, 8, 4]-code or 12-cap in PG(3,4)), using
- linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.